Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 25

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Q. No.
Value Points
Marks
Q5.
Cash price of watch = Rs. 970
Cash down payment= Rs. 210
∴ Payment to be made in instalments = Rs. (970-210) = Rs 760
½
Let Rs. x be each instalment
[
] [
]
x x 16 x 2
x x 16 x 1
+ x = Rs. 760
x +
+ x +
1200
1200
16 x
x
or, 3x +
3 = 760
1200
76
x = 760
or,
x = 250
1
Ü Ü Ü Ü Ü
25
Q6.. Correct construction
3
2
3
.
Q7. Volume of metallic cylinder = [π (14)
21] cm
1
This has been melted to form 72 spheres
Let r be the radius of the sphere
24
3
π r
= π 196.21
4
x
1
72
3
3
r
= (196) (21)
24 x 4
7
3
( )
=
½
2
Ü r = 3.5 cm
½
Q8.
Let h cm be the rainfall on the roof
22
3
(22 x 20 x h )
∴ volume of water collected on roof =
.
m
=
h m³
1
100
5
7
1
π (1)² x
Voume of water in conical vessel =
2
3
160

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